. The time of flight in planet M will be : 2u sin(0) TM= 2u sin(0) -0.379 BE ~2. 64 TE . The maximum height in planet M will be : u' sin' (0) HM= 2gM u2 sin (0) 2x0.379gE ~2. 64 HE . The horizontal range in planet M will be : w- sin(20) RM= u2 sin(20) 0.379XBE ~2. 64 RE2*) In the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal distance. Suppose that on earth she is in the air for time T, reaches a maximum height h and achieves a horizontal distance D. If she jumped in exactly the same way during a competition on Mars, where gmars = 0.379 of its earth value, find her time in the air, maximum height and horizontal distance. Express each of these quantities in terms of its earth value. Air resistance should be neglected on both planets. (t = 2.64 TE, h = 2.64 hF, D = 2.64 DE)